X(x+3)(5-x)=0

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Solution for X(x+3)(5-x)=0 equation: 


Simplifying
X(x + 3)(5 + -1x) = 0

Reorder the terms:
X(3 + x)(5 + -1x) = 0

Multiply (3 + x) * (5 + -1x)
X(3(5 + -1x) + x(5 + -1x)) = 0
X((5 * 3 + -1x * 3) + x(5 + -1x)) = 0
X((15 + -3x) + x(5 + -1x)) = 0
X(15 + -3x + (5 * x + -1x * x)) = 0
X(15 + -3x + (5x + -1x2)) = 0

Combine like terms: -3x + 5x = 2x
X(15 + 2x + -1x2) = 0
(15 * X + 2x * X + -1x2 * X) = 0
(15X + 2xX + -1x2X) = 0

Solving
15X + 2xX + -1x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'X'.
X(15 + 2x + -1x2) = 0

Factor a trinomial.
X((5 + -1x)(3 + x)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

Move all terms containing X to the left, all other terms to the right.

Simplifying
X = 0

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

Move all terms containing X to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Add 'x' to each side of the equation.
-1x + x = -5 + x

Combine like terms: -1x + x = 0
0 = -5 + x

Simplifying
0 = -5 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

Move all terms containing X to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
X = {0}

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